The GATE Grind

GATE 2017 ME (ME1) – Question 20

Heat Transfer · Heat exchangers: LMTD and NTU methods · 1 mark · Numerical answer

Saturated steam at 100°C condenses outside a tube. Cold fluid enters the tube at 20°C and leaves at 50°C. Find the log mean temperature difference in °C.

Practise this question in The GATE Grind →

Show answer and explanation

Correct answer: 63.5 to 64

Explanation

Condensing steam remains at 100°C. The terminal differences are therefore $\Delta T_1=100-20=80$ K and $\Delta T_2=100-50=50$ K. The logarithmic mean is $(80-50)/\ln(80/50)=63.829$ K. A temperature difference has the same numerical value in K and °C, giving 63.83°C.

More Heat exchangers: LMTD and NTU methods questions

All Heat exchangers: LMTD and NTU methods questions →